What type of study is this?

September 10, 2025Open Access

Existence and Stability Results for a Modified Diffusion Equation Involving Atangana–Baleanu–Caputo Fractional Derivative

Key Points

The study reveals the existence and uniqueness of solutions to the modified diffusion equation.
Key evidence includes the application of valid theorems from nonlinear analysis to show stability results.
An analysis of three major cases establishes foundational results in fractional order analysis.
Findings indicate potential applications of the modified diffusion equation in various mathematical frameworks.

Abstract

This article shows another display of the modified diffusion equation of fractional order involving Atangana–Baleanu–Caputo fractional derivative. The manuscript contains three major cases: the existence of a solution, uniqueness of the solution, and Hyers–Ulam stability, which are discussed based on valid theorems in nonlinear analysis. Further, we present some examples to confirm our achievements.

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Cite this study

Sangi et al. (Wed,) studied this question.

www.synapsesocial.com/papers/68c199da9b7b07f3a061b015 — DOI: https://doi.org/10.1155/jama/7940338

Authors

Maral Sangi

Mohammad Esmael Samei

Journals

Journal of Applied Mathematics

Actions

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Existence and Stability Results for a Modified Diffusion Equation Involving Atangana–Baleanu–Caputo Fractional Derivative

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Cite this study

Authors

Journals

Actions

References and Citations

Citation Network

Connected Papers

Discussion